The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. (Type an integer or a decimal. Do not round.)
The accompanying table describes the random variable x, the numbers of adults in groups of five who reported sleepwalking. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 4 sleepwalkers among 5 adults. (Type an integer or a decimal. Do not round.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Probability Distribution for x**
Below is a table representing a probability distribution for the discrete random variable \( x \). The table shows the possible values of \( x \) along with their corresponding probabilities \( P(x) \).
| \( x \) | \( P(x) \) |
|-------|--------|
| 0 | 0.164 |
| 1 | 0.436 |
| 2 | 0.248 |
| 3 | 0.124 |
| 4 | 0.021 |
| 5 | 0.007 |
**Explanation:**
- The sum of all probabilities \( P(x) \) should equal 1, as it represents a complete distribution.
- Each value of \( x \) is associated with a probability \( P(x) \), indicating the likelihood of \( x \) occurring.
Users can explore this table to understand the likelihood of different outcomes for the random variable \( x \).
**Additional Options:**
- **Print**: To print this table for reference.
- **Done**: To close or finalize the interaction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0a4c22f-5caf-47f6-af93-389fa46abeca%2F83fe6f2f-5a77-4539-8d42-8b6e86ead617%2F1yzrpsn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution for x**
Below is a table representing a probability distribution for the discrete random variable \( x \). The table shows the possible values of \( x \) along with their corresponding probabilities \( P(x) \).
| \( x \) | \( P(x) \) |
|-------|--------|
| 0 | 0.164 |
| 1 | 0.436 |
| 2 | 0.248 |
| 3 | 0.124 |
| 4 | 0.021 |
| 5 | 0.007 |
**Explanation:**
- The sum of all probabilities \( P(x) \) should equal 1, as it represents a complete distribution.
- Each value of \( x \) is associated with a probability \( P(x) \), indicating the likelihood of \( x \) occurring.
Users can explore this table to understand the likelihood of different outcomes for the random variable \( x \).
**Additional Options:**
- **Print**: To print this table for reference.
- **Done**: To close or finalize the interaction.
![### Understanding Probability in Sleepwalking Cases
The following exercise focuses on calculating the probabilities related to sleepwalking occurrences among a group of adults. A table (not shown here) provides data on the random variable \( x \), which represents the number of adults, out of a group of five, who have reported incidents of sleepwalking. Your task is to complete parts (a) through (d) with regard to this data.
---
#### Exercise
**a. Determine the Probability of Exactly Four Sleepwalkers**
Calculate the probability that exactly four out of five adults in the group are sleepwalkers.
**Instructions:**
- Enter your answer as a precise integer or a decimal.
- Do not round your answer.
---
This exercise will aid in understanding how to apply probability calculations to real-world scenarios, such as determining the likelihood of specific outcomes among groups with known behavior patterns.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0a4c22f-5caf-47f6-af93-389fa46abeca%2F83fe6f2f-5a77-4539-8d42-8b6e86ead617%2Fuqiwjdd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Probability in Sleepwalking Cases
The following exercise focuses on calculating the probabilities related to sleepwalking occurrences among a group of adults. A table (not shown here) provides data on the random variable \( x \), which represents the number of adults, out of a group of five, who have reported incidents of sleepwalking. Your task is to complete parts (a) through (d) with regard to this data.
---
#### Exercise
**a. Determine the Probability of Exactly Four Sleepwalkers**
Calculate the probability that exactly four out of five adults in the group are sleepwalkers.
**Instructions:**
- Enter your answer as a precise integer or a decimal.
- Do not round your answer.
---
This exercise will aid in understanding how to apply probability calculations to real-world scenarios, such as determining the likelihood of specific outcomes among groups with known behavior patterns.
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